TSTP Solution File: GRP573-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP573-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 00:12:28 EDT 2023
% Result : Unsatisfiable 80.72s 80.74s
% Output : CNFRefutation 80.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP573-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 23:41:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 80.61/80.72 %-------------------------------------------
% 80.61/80.72 % File :CSE---1.6
% 80.61/80.72 % Problem :theBenchmark
% 80.61/80.72 % Transform :cnf
% 80.61/80.72 % Format :tptp:raw
% 80.61/80.72 % Command :java -jar mcs_scs.jar %d %s
% 80.61/80.72
% 80.61/80.72 % Result :Theorem 80.090000s
% 80.61/80.72 % Output :CNFRefutation 80.090000s
% 80.61/80.72 %-------------------------------------------
% 80.61/80.73 %--------------------------------------------------------------------------
% 80.61/80.73 % File : GRP573-1 : TPTP v8.1.2. Released v2.6.0.
% 80.61/80.73 % Domain : Group Theory (Abelian)
% 80.61/80.73 % Problem : Axiom for Abelian group theory, in double div and id, part 1
% 80.61/80.73 % Version : [McC93] (equality) axioms.
% 80.61/80.73 % English :
% 80.61/80.73
% 80.61/80.73 % Refs : [McC93] McCune (1993), Single Axioms for Groups and Abelian Gr
% 80.61/80.73 % Source : [TPTP]
% 80.61/80.73 % Names :
% 80.61/80.73
% 80.61/80.73 % Status : Unsatisfiable
% 80.61/80.73 % Rating : 0.00 v7.4.0, 0.04 v7.3.0, 0.00 v7.0.0, 0.05 v6.3.0, 0.12 v6.2.0, 0.14 v6.1.0, 0.06 v6.0.0, 0.14 v5.5.0, 0.11 v5.4.0, 0.00 v2.6.0
% 80.61/80.73 % Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 1 RR)
% 80.61/80.73 % Number of literals : 5 ( 5 equ; 1 neg)
% 80.61/80.73 % Maximal clause size : 1 ( 1 avg)
% 80.61/80.73 % Maximal term depth : 6 ( 2 avg)
% 80.61/80.73 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 80.61/80.73 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 80.61/80.73 % Number of variables : 7 ( 0 sgn)
% 80.61/80.73 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 80.61/80.73
% 80.61/80.73 % Comments : A UEQ part of GRP101-1
% 80.61/80.73 %--------------------------------------------------------------------------
% 80.72/80.73 cnf(single_axiom,axiom,
% 80.72/80.73 double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B ).
% 80.72/80.73
% 80.72/80.73 cnf(multiply,axiom,
% 80.72/80.73 multiply(A,B) = double_divide(double_divide(B,A),identity) ).
% 80.72/80.73
% 80.72/80.73 cnf(inverse,axiom,
% 80.72/80.73 inverse(A) = double_divide(A,identity) ).
% 80.72/80.73
% 80.72/80.73 cnf(identity,axiom,
% 80.72/80.73 identity = double_divide(A,inverse(A)) ).
% 80.72/80.73
% 80.72/80.73 cnf(prove_these_axioms_1,negated_conjecture,
% 80.72/80.73 multiply(inverse(a1),a1) != identity ).
% 80.72/80.74
% 80.72/80.74 %--------------------------------------------------------------------------
% 80.72/80.74 %-------------------------------------------
% 80.72/80.74 % Proof found
% 80.72/80.74 % SZS status Theorem for theBenchmark
% 80.72/80.74 % SZS output start Proof
% 80.72/80.74 %ClaNum:8(EqnAxiom:5)
% 80.72/80.74 %VarNum:8(SingletonVarNum:4)
% 80.72/80.74 %MaxLitNum:1
% 80.72/80.74 %MaxfuncDepth:3
% 80.72/80.74 %SharedTerms:7
% 80.72/80.74 %goalClause: 8
% 80.72/80.74 %singleGoalClaCount:1
% 80.72/80.74 [8]~E(f2(f2(a3,f2(a3,a1)),a1),a1)
% 80.72/80.74 [6]E(f2(x61,f2(x61,a1)),a1)
% 80.72/80.74 [7]E(f2(f2(x71,f2(f2(x72,f2(x73,x71)),f2(x73,a1))),f2(a1,a1)),x72)
% 80.72/80.74 %EqnAxiom
% 80.72/80.74 [1]E(x11,x11)
% 80.72/80.74 [2]E(x22,x21)+~E(x21,x22)
% 80.72/80.74 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 80.72/80.74 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 80.72/80.74 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 80.72/80.74
% 80.72/80.74 %-------------------------------------------
% 80.72/80.75 cnf(9,plain,
% 80.72/80.75 (E(a1,f2(x91,f2(x91,a1)))),
% 80.72/80.75 inference(scs_inference,[],[6,2])).
% 80.72/80.75 cnf(10,plain,
% 80.72/80.75 (~E(f2(f2(a3,f2(a3,a1)),a1),f2(x101,f2(x101,a1)))),
% 80.72/80.75 inference(scs_inference,[],[8,6,2,3])).
% 80.72/80.75 cnf(11,plain,
% 80.72/80.75 (E(f2(x111,f2(x112,f2(x112,a1))),f2(x111,a1))),
% 80.72/80.75 inference(scs_inference,[],[8,6,2,3,5])).
% 80.72/80.75 cnf(12,plain,
% 80.72/80.75 (E(f2(f2(x121,f2(x121,a1)),x122),f2(a1,x122))),
% 80.72/80.75 inference(scs_inference,[],[8,6,2,3,5,4])).
% 80.72/80.75 cnf(13,plain,
% 80.72/80.75 (~E(a1,f2(f2(a3,f2(a3,a1)),a1))),
% 80.72/80.75 inference(scs_inference,[],[8,2])).
% 80.72/80.75 cnf(14,plain,
% 80.72/80.75 (~E(f2(a1,a1),a1)),
% 80.72/80.75 inference(scs_inference,[],[8,12,2,3])).
% 80.72/80.75 cnf(16,plain,
% 80.72/80.75 (E(x161,f2(f2(x162,f2(f2(x161,f2(x163,x162)),f2(x163,a1))),f2(a1,a1)))),
% 80.72/80.75 inference(scs_inference,[],[7,2])).
% 80.72/80.75 cnf(17,plain,
% 80.72/80.75 (E(f2(x171,f2(x171,a1)),f2(x172,f2(x172,a1)))),
% 80.72/80.75 inference(scs_inference,[],[6,9,7,2,3])).
% 80.72/80.75 cnf(18,plain,
% 80.72/80.75 (~E(f2(a1,a1),f2(x181,f2(x181,a1)))),
% 80.72/80.75 inference(scs_inference,[],[6,14,3])).
% 80.72/80.75 cnf(20,plain,
% 80.72/80.75 (~E(a1,f2(a1,a1))),
% 80.72/80.75 inference(scs_inference,[],[6,10,14,3,2,5])).
% 80.72/80.75 cnf(21,plain,
% 80.72/80.75 (E(f2(x211,a1),f2(x211,f2(x212,f2(x212,a1))))),
% 80.72/80.75 inference(scs_inference,[],[9,5])).
% 80.72/80.75 cnf(22,plain,
% 80.72/80.75 (~E(f2(f2(x221,f2(f2(f2(a1,a1),f2(x222,x221)),f2(x222,a1))),f2(a1,a1)),f2(x223,f2(x223,a1)))),
% 80.72/80.75 inference(scs_inference,[],[9,16,18,5,3])).
% 80.72/80.75 cnf(24,plain,
% 80.72/80.75 (E(f2(a1,x241),f2(f2(x242,f2(x242,a1)),x241))),
% 80.72/80.75 inference(scs_inference,[],[9,16,18,12,5,3,2])).
% 80.72/80.75 cnf(25,plain,
% 80.72/80.75 (E(f2(f2(x251,f2(x251,a1)),x252),f2(f2(x253,f2(x253,a1)),x252))),
% 80.72/80.75 inference(scs_inference,[],[9,16,17,18,12,5,3,2,4])).
% 80.72/80.75 cnf(26,plain,
% 80.72/80.75 (~E(f2(x261,f2(f2(f2(a1,a1),f2(x262,x261)),f2(x262,a1))),a1)),
% 80.72/80.75 inference(scs_inference,[],[22,4])).
% 80.72/80.75 cnf(27,plain,
% 80.72/80.75 (~E(f2(f2(x271,f2(f2(f2(a1,a1),f2(x272,x271)),f2(x272,a1))),f2(a1,a1)),f2(x273,f2(x273,a1)))),
% 80.72/80.75 inference(rename_variables,[],[22])).
% 80.72/80.75 cnf(28,plain,
% 80.72/80.75 (E(f2(f2(x281,f2(f2(a1,f2(x282,x281)),f2(x282,a1))),f2(a1,a1)),f2(x283,f2(x283,a1)))),
% 80.72/80.75 inference(scs_inference,[],[7,9,22,4,3])).
% 80.72/80.75 cnf(30,plain,
% 80.72/80.75 (~E(f2(x301,f2(x301,a1)),f2(f2(x302,f2(f2(f2(a1,a1),f2(x303,x302)),f2(x303,a1))),f2(a1,a1)))),
% 80.72/80.75 inference(scs_inference,[],[7,9,22,27,4,3,2])).
% 80.72/80.75 cnf(31,plain,
% 80.72/80.75 (E(f2(x311,f2(x312,f2(x312,a1))),f2(x311,f2(x313,f2(x313,a1))))),
% 80.72/80.75 inference(scs_inference,[],[17,5])).
% 80.72/80.75 cnf(32,plain,
% 80.72/80.75 (~E(a1,f2(f2(a3,f2(a3,a1)),f2(x321,f2(x321,a1))))),
% 80.72/80.75 inference(scs_inference,[],[11,13,17,5,3])).
% 80.72/80.75 cnf(34,plain,
% 80.72/80.75 (E(f2(x341,f2(x341,a1)),f2(f2(x342,f2(f2(a1,f2(x343,x342)),f2(x343,a1))),f2(a1,a1)))),
% 80.72/80.75 inference(scs_inference,[],[11,13,28,17,5,3,2])).
% 80.72/80.75 cnf(35,plain,
% 80.72/80.75 (~E(a1,f2(x351,f2(f2(f2(a1,a1),f2(x352,x351)),f2(x352,a1))))),
% 80.72/80.75 inference(scs_inference,[],[11,13,30,28,17,5,3,2,4])).
% 80.72/80.75 cnf(37,plain,
% 80.72/80.75 (~E(f2(f2(x371,f2(x371,a1)),a1),f2(x372,f2(x372,a1)))),
% 80.72/80.75 inference(scs_inference,[],[10,25,3])).
% 80.72/80.76 cnf(40,plain,
% 80.72/80.76 (~E(a1,f2(f2(x401,f2(x401,a1)),a1))),
% 80.72/80.76 inference(scs_inference,[],[10,25,32,3,2,5])).
% 80.72/80.76 cnf(41,plain,
% 80.72/80.76 (E(f2(f2(x411,f2(x411,a1)),f2(x412,f2(x412,a1))),f2(a1,a1))),
% 80.72/80.76 inference(scs_inference,[],[11,12,3])).
% 80.72/80.76 cnf(44,plain,
% 80.72/80.76 (E(f2(a1,a1),f2(f2(x441,f2(x441,a1)),f2(x442,f2(x442,a1))))),
% 80.72/80.76 inference(scs_inference,[],[11,12,3,2])).
% 80.72/80.76 cnf(47,plain,
% 80.72/80.76 (~E(f2(x471,f2(x471,a1)),f2(f2(x472,f2(x472,a1)),a1))),
% 80.72/80.76 inference(scs_inference,[],[11,20,37,3,2])).
% 80.72/80.76 cnf(48,plain,
% 80.72/80.76 (~E(f2(f2(x481,f2(x481,a1)),a1),a1)),
% 80.72/80.76 inference(scs_inference,[],[11,20,37,3,2,5])).
% 80.72/80.76 cnf(52,plain,
% 80.72/80.76 (E(a1,f2(f2(x521,f2(f2(f2(x522,f2(x522,a1)),f2(x523,x521)),f2(x523,a1))),f2(a1,a1)))),
% 80.72/80.76 inference(scs_inference,[],[16,9,3])).
% 80.72/80.76 cnf(54,plain,
% 80.72/80.76 (E(f2(f2(x541,f2(f2(f2(x542,f2(x542,a1)),f2(x543,x541)),f2(x543,a1))),f2(a1,a1)),a1)),
% 80.72/80.76 inference(scs_inference,[],[52,2])).
% 80.72/80.76 cnf(55,plain,
% 80.72/80.76 (~E(f2(x551,f2(x551,a1)),f2(a1,a1))),
% 80.72/80.76 inference(scs_inference,[],[16,52,30,2,3])).
% 80.72/80.76 cnf(60,plain,
% 80.72/80.76 (E(f2(f2(x601,f2(x601,a1)),f2(a1,a1)),f2(x602,f2(x602,a1)))),
% 80.72/80.76 inference(scs_inference,[],[17,12,3])).
% 80.72/80.76 cnf(63,plain,
% 80.72/80.76 (E(f2(x631,f2(x631,a1)),f2(f2(x632,f2(x632,a1)),f2(a1,a1)))),
% 80.72/80.76 inference(scs_inference,[],[17,12,3,2])).
% 80.72/80.76 cnf(66,plain,
% 80.72/80.76 (~E(f2(a1,f2(x661,f2(x661,a1))),f2(x662,f2(x662,a1)))),
% 80.72/80.76 inference(scs_inference,[],[18,21,3])).
% 80.72/80.76 cnf(68,plain,
% 80.72/80.76 (E(f2(f2(x681,f2(x681,a1)),a1),f2(a1,f2(x682,f2(x682,a1))))),
% 80.72/80.76 inference(scs_inference,[],[21,12,3])).
% 80.72/80.76 cnf(71,plain,
% 80.72/80.76 (E(f2(a1,f2(x711,f2(x711,a1))),f2(f2(x712,f2(x712,a1)),a1))),
% 80.72/80.76 inference(scs_inference,[],[21,12,3,2])).
% 80.72/80.76 cnf(72,plain,
% 80.72/80.76 (~E(f2(x721,f2(x721,a1)),f2(a1,f2(x722,f2(x722,a1))))),
% 80.72/80.76 inference(scs_inference,[],[66,2])).
% 80.72/80.76 cnf(73,plain,
% 80.72/80.76 (~E(f2(x731,f2(f2(f2(a1,a1),f2(x732,x731)),f2(x732,a1))),f2(x733,f2(x733,a1)))),
% 80.72/80.76 inference(scs_inference,[],[66,26,6,2,3])).
% 80.72/80.76 cnf(74,plain,
% 80.72/80.76 (~E(f2(f2(f2(a1,a1),f2(x741,x742)),f2(x741,a1)),f2(x742,a1))),
% 80.72/80.76 inference(scs_inference,[],[66,26,6,2,3,5])).
% 80.72/80.76 cnf(75,plain,
% 80.72/80.76 (~E(f2(f2(x751,f2(x751,a1)),f2(f2(f2(a1,a1),f2(x752,a1)),f2(x752,a1))),f2(x753,f2(x753,a1)))),
% 80.72/80.76 inference(scs_inference,[],[73,24,3])).
% 80.72/80.76 cnf(76,plain,
% 80.72/80.76 (~E(f2(x761,f2(f2(f2(a1,a1),f2(x762,x761)),f2(x762,a1))),f2(x763,f2(x763,a1)))),
% 80.72/80.76 inference(rename_variables,[],[73])).
% 80.72/80.76 cnf(78,plain,
% 80.72/80.76 (~E(f2(x781,f2(x781,a1)),f2(x782,f2(f2(f2(a1,a1),f2(x783,x782)),f2(x783,a1))))),
% 80.72/80.76 inference(scs_inference,[],[73,76,24,3,2])).
% 80.72/80.76 cnf(79,plain,
% 80.72/80.76 (E(a1,f2(f2(x791,f2(x791,a1)),f2(a1,a1)))),
% 80.72/80.76 inference(scs_inference,[],[24,9,3])).
% 80.72/80.76 cnf(82,plain,
% 80.72/80.76 (E(f2(x821,a1),f2(x821,f2(f2(x822,f2(x822,a1)),f2(a1,a1))))),
% 80.72/80.76 inference(scs_inference,[],[24,9,3,5])).
% 80.72/80.76 cnf(83,plain,
% 80.72/80.76 (E(f2(f2(x831,f2(x831,a1)),f2(a1,a1)),a1)),
% 80.72/80.76 inference(scs_inference,[],[24,9,3,5,2])).
% 80.72/80.76 cnf(84,plain,
% 80.72/80.76 (E(f2(a1,x841),f2(f2(f2(x842,f2(x842,a1)),f2(a1,a1)),x841))),
% 80.72/80.76 inference(scs_inference,[],[24,9,3,5,2,4])).
% 80.72/80.76 cnf(85,plain,
% 80.72/80.76 (~E(f2(x851,a1),f2(f2(f2(a1,a1),f2(x852,x851)),f2(x852,a1)))),
% 80.72/80.76 inference(scs_inference,[],[78,5])).
% 80.72/80.76 cnf(87,plain,
% 80.72/80.76 (~E(f2(x871,f2(x871,a1)),f2(f2(x872,f2(x872,a1)),f2(f2(f2(a1,a1),f2(x873,a1)),f2(x873,a1))))),
% 80.72/80.76 inference(scs_inference,[],[78,75,5,2])).
% 80.72/80.76 cnf(88,plain,
% 80.72/80.76 (E(f2(a1,a1),f2(f2(x881,f2(x881,a1)),f2(f2(x882,f2(x882,a1)),f2(a1,a1))))),
% 80.72/80.76 inference(scs_inference,[],[24,78,75,82,5,2,3])).
% 80.72/80.76 cnf(91,plain,
% 80.72/80.76 (E(f2(x911,f2(f2(x912,f2(x912,a1)),f2(a1,a1))),f2(x911,a1))),
% 80.72/80.76 inference(scs_inference,[],[83,5])).
% 80.72/80.76 cnf(92,plain,
% 80.72/80.76 (E(f2(f2(x921,f2(x921,a1)),f2(f2(x922,f2(x922,a1)),f2(a1,a1))),f2(a1,a1))),
% 80.72/80.76 inference(scs_inference,[],[88,83,5,2])).
% 80.72/80.76 cnf(93,plain,
% 80.72/80.76 (~E(f2(f2(x931,f2(x931,a1)),f2(f2(a1,a1),a1)),f2(a1,a1))),
% 80.72/80.76 inference(scs_inference,[],[25,88,74,83,5,2,3])).
% 80.72/80.76 cnf(96,plain,
% 80.72/80.76 (~E(f2(a1,a1),f2(f2(x961,f2(x961,a1)),f2(f2(a1,a1),a1)))),
% 80.72/80.76 inference(scs_inference,[],[93,2])).
% 80.72/80.76 cnf(97,plain,
% 80.72/80.76 (E(f2(f2(f2(x971,f2(x971,a1)),f2(a1,a1)),x972),f2(a1,x972))),
% 80.72/80.76 inference(scs_inference,[],[84,2])).
% 80.72/80.76 cnf(99,plain,
% 80.72/80.76 (~E(f2(x991,f2(x991,a1)),f2(f2(x992,f2(x992,a1)),f2(f2(x993,f2(x993,a1)),f2(a1,a1))))),
% 80.72/80.76 inference(scs_inference,[],[91,47,3])).
% 80.72/80.76 cnf(101,plain,
% 80.72/80.76 (~E(f2(f2(x1011,f2(x1011,a1)),f2(a1,a1)),f2(x1012,f2(f2(f2(a1,a1),f2(x1013,x1012)),f2(x1013,a1))))),
% 80.72/80.76 inference(scs_inference,[],[79,35,3])).
% 80.72/80.76 cnf(102,plain,
% 80.72/80.76 (~E(f2(x1021,f2(f2(f2(a1,a1),f2(x1022,x1021)),f2(x1022,a1))),f2(f2(x1023,f2(x1023,a1)),f2(a1,a1)))),
% 80.72/80.76 inference(scs_inference,[],[101,2])).
% 80.72/80.76 cnf(103,plain,
% 80.72/80.76 (~E(f2(x1031,f2(x1031,a1)),f2(f2(f2(x1032,f2(x1032,a1)),f2(a1,a1)),f2(x1033,f2(x1033,a1))))),
% 80.72/80.76 inference(scs_inference,[],[97,72,3])).
% 80.72/80.76 cnf(105,plain,
% 80.72/80.76 (~E(f2(f2(x1051,f2(x1051,a1)),f2(x1052,f2(x1052,a1))),f2(f2(f2(a1,a1),f2(x1053,a1)),f2(x1053,a1)))),
% 80.72/80.76 inference(scs_inference,[],[44,85,3])).
% 80.72/80.76 cnf(107,plain,
% 80.72/80.76 (~E(f2(x1071,f2(x1071,a1)),f2(f2(a1,a1),a1))),
% 80.72/80.76 inference(scs_inference,[],[44,85,3,5])).
% 80.72/80.76 cnf(108,plain,
% 80.72/80.76 (~E(f2(f2(f2(a1,a1),f2(x1081,a1)),f2(x1081,a1)),f2(f2(x1082,f2(x1082,a1)),f2(x1083,f2(x1083,a1))))),
% 80.72/80.76 inference(scs_inference,[],[105,2])).
% 80.72/80.76 cnf(109,plain,
% 80.72/80.76 (~E(f2(f2(a1,a1),a1),f2(x1091,f2(x1091,a1)))),
% 80.72/80.76 inference(scs_inference,[],[108,5])).
% 80.72/80.76 cnf(111,plain,
% 80.72/80.76 (~E(f2(f2(x1111,f2(x1111,a1)),a1),f2(f2(x1112,f2(x1112,a1)),f2(a1,a1)))),
% 80.72/80.76 inference(scs_inference,[],[37,60,108,5,3])).
% 80.72/80.76 cnf(113,plain,
% 80.72/80.76 (~E(f2(f2(a1,a1),f2(f2(x1131,f2(x1131,a1)),f2(a1,a1))),f2(x1132,f2(x1132,a1)))),
% 80.72/80.76 inference(scs_inference,[],[109,82,3])).
% 80.72/80.76 cnf(115,plain,
% 80.72/80.76 (~E(f2(f2(x1151,f2(x1151,a1)),f2(f2(x1152,f2(x1152,a1)),f2(a1,a1))),f2(x1153,f2(x1153,a1)))),
% 80.72/80.76 inference(scs_inference,[],[109,99,82,3,2])).
% 80.72/80.76 cnf(116,plain,
% 80.72/80.76 (~E(f2(f2(x1161,f2(x1161,a1)),f2(a1,a1)),f2(f2(a1,a1),a1))),
% 80.72/80.76 inference(scs_inference,[],[113,5])).
% 80.72/80.76 cnf(118,plain,
% 80.72/80.76 (~E(f2(f2(a1,a1),a1),f2(f2(x1181,f2(x1181,a1)),f2(a1,a1)))),
% 80.72/80.76 inference(scs_inference,[],[116,2])).
% 80.72/80.76 cnf(123,plain,
% 80.72/80.76 (~E(f2(f2(a1,a1),a1),a1)),
% 80.72/80.76 inference(scs_inference,[],[107,5])).
% 80.72/80.76 cnf(125,plain,
% 80.72/80.76 (~E(f2(f2(f2(x1251,f2(x1251,a1)),f2(a1,a1)),f2(x1252,f2(x1252,a1))),f2(x1253,f2(x1253,a1)))),
% 80.72/80.76 inference(scs_inference,[],[103,2])).
% 80.72/80.76 cnf(132,plain,
% 80.72/80.76 (~E(f2(f2(x1321,f2(x1321,a1)),f2(a1,a1)),f2(f2(x1322,f2(x1322,a1)),a1))),
% 80.72/80.76 inference(scs_inference,[],[111,2])).
% 80.72/80.76 cnf(133,plain,
% 80.72/80.76 (~E(f2(f2(x1331,f2(x1331,a1)),f2(a1,a1)),f2(a1,f2(x1332,f2(x1332,a1))))),
% 80.72/80.76 inference(scs_inference,[],[132,71,3])).
% 80.72/80.76 cnf(135,plain,
% 80.72/80.76 (~E(f2(f2(a1,a1),f2(x1351,f2(x1351,a1))),a1)),
% 80.72/80.76 inference(scs_inference,[],[123,21,3])).
% 80.72/80.76 cnf(137,plain,
% 80.72/80.76 (~E(f2(a1,f2(x1371,f2(x1371,a1))),f2(f2(x1372,f2(x1372,a1)),f2(a1,a1)))),
% 80.72/80.76 inference(scs_inference,[],[133,2])).
% 80.72/80.76 cnf(138,plain,
% 80.72/80.76 (~E(f2(x1381,f2(x1381,a1)),f2(f2(x1382,f2(x1382,a1)),f2(x1383,f2(x1383,a1))))),
% 80.72/80.76 inference(scs_inference,[],[55,41,3])).
% 80.72/80.76 cnf(139,plain,
% 80.72/80.76 (~E(f2(f2(x1391,f2(f2(a1,f2(x1392,x1391)),f2(x1392,a1))),f2(a1,a1)),f2(a1,a1))),
% 80.72/80.76 inference(scs_inference,[],[55,34,3])).
% 80.72/80.76 cnf(141,plain,
% 80.72/80.76 (~E(f2(f2(x1411,f2(x1411,a1)),f2(x1412,f2(x1412,a1))),f2(x1413,f2(x1413,a1)))),
% 80.72/80.76 inference(scs_inference,[],[55,34,138,3,2])).
% 80.72/80.76 cnf(142,plain,
% 80.72/80.76 (E(f2(f2(f2(x1421,f2(x1421,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(x1422,f2(x1422,a1)),f2(a1,a1)))),
% 80.72/80.76 inference(scs_inference,[],[63,97,3])).
% 80.72/80.76 cnf(145,plain,
% 80.72/80.76 (E(f2(f2(x1451,f2(x1451,a1)),f2(a1,a1)),f2(f2(f2(x1452,f2(x1452,a1)),f2(a1,a1)),f2(a1,a1)))),
% 80.72/80.76 inference(scs_inference,[],[63,97,3,2])).
% 80.72/80.76 cnf(147,plain,
% 80.72/80.76 (E(f2(x1471,f2(x1471,a1)),f2(f2(f2(x1472,f2(x1472,a1)),f2(a1,a1)),f2(a1,a1)))),
% 80.72/80.76 inference(scs_inference,[],[63,139,145,2,3])).
% 80.72/80.76 cnf(149,plain,
% 80.72/80.76 (E(f2(f2(f2(x1491,f2(x1491,a1)),f2(a1,a1)),f2(a1,a1)),f2(x1492,f2(x1492,a1)))),
% 80.72/80.76 inference(scs_inference,[],[147,2])).
% 80.72/80.76 cnf(150,plain,
% 80.72/80.76 (~E(f2(f2(x1501,f2(x1501,a1)),f2(a1,a1)),f2(f2(x1502,f2(x1502,a1)),f2(x1503,f2(x1503,a1))))),
% 80.72/80.76 inference(scs_inference,[],[63,147,138,2,3])).
% 80.72/80.76 cnf(152,plain,
% 80.72/80.76 (~E(f2(f2(x1521,f2(x1521,a1)),f2(x1522,f2(x1522,a1))),f2(f2(x1523,f2(x1523,a1)),f2(a1,a1)))),
% 80.72/80.76 inference(scs_inference,[],[150,2])).
% 80.72/80.76 cnf(157,plain,
% 80.72/80.76 (~E(a1,f2(f2(a1,a1),f2(x1571,f2(x1571,a1))))),
% 80.72/80.76 inference(scs_inference,[],[135,2])).
% 80.72/80.76 cnf(158,plain,
% 80.72/80.76 (~E(f2(f2(f2(x1581,f2(x1581,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(a1,a1),a1))),
% 80.72/80.76 inference(scs_inference,[],[135,147,107,2,3])).
% 80.72/80.76 cnf(160,plain,
% 80.72/80.76 (E(f2(f2(f2(x1601,f2(x1601,a1)),f2(a1,a1)),f2(a1,a1)),a1)),
% 80.72/80.76 inference(scs_inference,[],[142,83,3])).
% 80.72/80.76 cnf(162,plain,
% 80.72/80.76 (E(f2(f2(f2(f2(x1621,f2(x1621,a1)),f2(a1,a1)),f2(a1,a1)),x1622),f2(a1,x1622))),
% 80.72/80.76 inference(scs_inference,[],[142,83,3,4])).
% 80.72/80.76 cnf(163,plain,
% 80.72/80.76 (E(a1,f2(f2(f2(x1631,f2(x1631,a1)),f2(a1,a1)),f2(a1,a1)))),
% 80.72/80.76 inference(scs_inference,[],[142,83,3,4,2])).
% 80.72/80.76 cnf(164,plain,
% 80.72/80.76 (E(f2(x1641,f2(f2(f2(x1642,f2(x1642,a1)),f2(a1,a1)),f2(a1,a1))),f2(x1641,a1))),
% 80.72/80.76 inference(scs_inference,[],[142,83,3,4,2,5])).
% 80.72/80.76 cnf(165,plain,
% 80.72/80.76 (~E(f2(f2(a1,a1),a1),f2(f2(f2(x1651,f2(x1651,a1)),f2(a1,a1)),f2(a1,a1)))),
% 80.72/80.76 inference(scs_inference,[],[158,2])).
% 80.72/80.76 cnf(166,plain,
% 80.72/80.76 (~E(f2(a1,f2(x1661,f2(x1661,a1))),f2(f2(f2(x1662,f2(x1662,a1)),f2(a1,a1)),f2(a1,a1)))),
% 80.72/80.76 inference(scs_inference,[],[66,158,149,2,3])).
% 80.72/80.76 cnf(168,plain,
% 80.72/80.76 (E(f2(a1,x1681),f2(f2(f2(f2(x1682,f2(x1682,a1)),f2(a1,a1)),f2(a1,a1)),x1681))),
% 80.72/80.76 inference(scs_inference,[],[162,2])).
% 80.72/80.76 cnf(169,plain,
% 80.72/80.76 (~E(f2(f2(f2(x1691,f2(x1691,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(a1,a1),f2(x1692,f2(x1692,a1))))),
% 80.72/80.76 inference(scs_inference,[],[162,163,157,2,3])).
% 80.72/80.76 cnf(170,plain,
% 80.72/80.76 (~E(f2(f2(a1,a1),f2(x1701,f2(x1701,a1))),f2(f2(f2(x1702,f2(x1702,a1)),f2(a1,a1)),f2(a1,a1)))),
% 80.72/80.76 inference(scs_inference,[],[169,2])).
% 80.72/80.76 cnf(171,plain,
% 80.72/80.76 (E(f2(f2(x1711,f2(x1711,a1)),f2(a1,a1)),f2(f2(f2(f2(x1712,f2(x1712,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)))),
% 80.72/80.76 inference(scs_inference,[],[169,168,60,2,3])).
% 80.72/80.76 cnf(174,plain,
% 80.72/80.76 (E(f2(f2(f2(f2(x1741,f2(x1741,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(x1742,f2(x1742,a1)),f2(a1,a1)))),
% 80.72/80.76 inference(scs_inference,[],[171,2])).
% 80.72/80.76 cnf(177,plain,
% 80.72/80.76 (E(f2(x1771,a1),f2(x1771,f2(f2(f2(x1772,f2(x1772,a1)),f2(a1,a1)),f2(a1,a1))))),
% 80.72/80.76 inference(scs_inference,[],[171,164,40,163,2,3,5])).
% 80.72/80.76 cnf(178,plain,
% 80.72/80.76 (~E(f2(f2(f2(x1781,f2(x1781,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,f2(x1782,f2(x1782,a1))))),
% 80.72/80.76 inference(scs_inference,[],[166,2])).
% 80.72/80.76 cnf(179,plain,
% 80.72/80.76 (~E(f2(f2(x1791,f2(x1791,a1)),a1),f2(f2(f2(x1792,f2(x1792,a1)),f2(a1,a1)),f2(a1,a1)))),
% 80.72/80.76 inference(scs_inference,[],[71,166,2,3])).
% 80.72/80.76 cnf(181,plain,
% 80.72/80.76 (E(a1,f2(f2(f2(f2(x1811,f2(x1811,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)))),
% 80.72/80.76 inference(scs_inference,[],[171,79,3])).
% 80.72/80.76 cnf(183,plain,
% 80.72/80.76 (E(f2(a1,x1831),f2(f2(f2(f2(f2(x1832,f2(x1832,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),x1831))),
% 80.72/80.76 inference(scs_inference,[],[171,79,3,4])).
% 80.72/80.76 cnf(186,plain,
% 80.72/80.76 (~E(f2(f2(x1861,f2(x1861,a1)),f2(a1,a1)),f2(a1,a1))),
% 80.72/80.76 inference(scs_inference,[],[179,44,150,2,3])).
% 80.72/80.76 cnf(188,plain,
% 80.72/80.76 (E(f2(f2(f2(f2(f2(x1881,f2(x1881,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),x1882),f2(a1,x1882))),
% 80.72/80.76 inference(scs_inference,[],[183,2])).
% 80.72/80.76 cnf(189,plain,
% 80.72/80.76 (~E(f2(f2(f2(f2(x1891,f2(x1891,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1))),
% 80.72/80.76 inference(scs_inference,[],[186,183,171,2,3])).
% 80.72/80.76 cnf(192,plain,
% 80.72/80.76 (~E(f2(a1,a1),f2(f2(f2(f2(x1921,f2(x1921,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)))),
% 80.72/80.76 inference(scs_inference,[],[189,2])).
% 80.72/80.76 cnf(193,plain,
% 80.72/80.76 (E(f2(x1931,f2(x1931,a1)),f2(f2(f2(f2(x1932,f2(x1932,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)))),
% 80.72/80.76 inference(scs_inference,[],[189,181,6,2,3])).
% 80.72/80.76 cnf(194,plain,
% 80.72/80.76 (E(f2(f2(f2(f2(x1941,f2(x1941,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(x1942,f2(x1942,a1)))),
% 80.72/80.76 inference(scs_inference,[],[193,2])).
% 80.72/80.76 cnf(195,plain,
% 80.72/80.76 (~E(f2(a1,a1),f2(f2(x1951,f2(x1951,a1)),f2(a1,a1)))),
% 80.72/80.76 inference(scs_inference,[],[192,193,171,2,3])).
% 80.72/80.76 cnf(204,plain,
% 80.72/80.76 (~E(f2(f2(f2(x2041,f2(x2041,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1))),
% 80.72/80.76 inference(scs_inference,[],[186,145,3])).
% 80.72/80.76 cnf(206,plain,
% 80.72/80.76 (E(f2(a1,a1),f2(f2(f2(x2061,f2(x2061,a1)),f2(a1,a1)),f2(f2(x2062,f2(x2062,a1)),f2(a1,a1))))),
% 80.72/80.76 inference(scs_inference,[],[82,84,3])).
% 80.72/80.76 cnf(210,plain,
% 80.72/80.76 (~E(f2(f2(x2101,f2(x2101,a1)),f2(f2(x2102,f2(x2102,a1)),f2(a1,a1))),a1)),
% 80.72/80.76 inference(scs_inference,[],[206,115,9,2,3])).
% 80.72/80.76 cnf(213,plain,
% 80.72/80.76 (~E(f2(a1,f2(f2(x2131,f2(x2131,a1)),f2(a1,a1))),f2(f2(x2132,f2(x2132,a1)),f2(a1,a1)))),
% 80.72/80.76 inference(scs_inference,[],[82,210,195,2,3])).
% 80.72/80.76 cnf(215,plain,
% 80.72/80.76 (~E(f2(f2(x2151,f2(x2151,a1)),f2(a1,a1)),f2(a1,f2(f2(x2152,f2(x2152,a1)),f2(a1,a1))))),
% 80.72/80.76 inference(scs_inference,[],[213,2])).
% 80.72/80.76 cnf(216,plain,
% 80.72/80.76 (E(f2(a1,a1),f2(f2(f2(x2161,f2(x2161,a1)),f2(a1,a1)),f2(x2162,f2(x2162,a1))))),
% 80.72/80.76 inference(scs_inference,[],[84,21,3])).
% 80.72/80.76 cnf(220,plain,
% 80.72/80.76 (~E(f2(f2(f2(x2201,f2(x2201,a1)),f2(a1,a1)),f2(x2202,f2(x2202,a1))),a1)),
% 80.72/80.76 inference(scs_inference,[],[216,125,9,2,3])).
% 80.72/80.76 cnf(223,plain,
% 80.72/80.76 (~E(f2(f2(f2(x2231,f2(x2231,a1)),f2(a1,a1)),a1),f2(f2(f2(a1,a1),f2(x2232,a1)),f2(x2232,a1)))),
% 80.72/80.76 inference(scs_inference,[],[85,84,220,2,3])).
% 80.72/80.76 cnf(229,plain,
% 80.72/80.76 (~E(f2(f2(f2(a1,a1),f2(x2291,a1)),f2(x2291,a1)),f2(f2(f2(x2292,f2(x2292,a1)),f2(a1,a1)),a1))),
% 80.72/80.76 inference(scs_inference,[],[223,2])).
% 80.72/80.76 cnf(231,plain,
% 80.72/80.76 (~E(f2(a1,a1),f2(a1,f2(f2(a1,a1),a1)))),
% 80.72/80.76 inference(scs_inference,[],[96,24,3])).
% 80.72/80.76 cnf(235,plain,
% 80.72/80.76 (~E(f2(a1,f2(f2(a1,a1),a1)),f2(a1,a1))),
% 80.72/80.76 inference(scs_inference,[],[231,2])).
% 80.72/80.76 cnf(236,plain,
% 80.72/80.76 (~E(f2(x2361,f2(x2361,a1)),f2(a1,f2(f2(x2362,f2(x2362,a1)),f2(a1,a1))))),
% 80.72/80.76 inference(scs_inference,[],[99,24,3])).
% 80.72/80.76 cnf(238,plain,
% 80.72/80.76 (~E(f2(a1,f2(a1,a1)),f2(f2(a1,a1),f2(x2381,f2(x2381,a1))))),
% 80.72/80.76 inference(scs_inference,[],[97,169,3])).
% 80.72/80.76 cnf(241,plain,
% 80.72/80.76 (~E(f2(a1,f2(f2(x2411,f2(x2411,a1)),f2(a1,a1))),f2(x2412,f2(x2412,a1)))),
% 80.72/80.76 inference(scs_inference,[],[97,236,169,3,2])).
% 80.72/80.76 cnf(242,plain,
% 80.72/80.76 (~E(f2(f2(a1,a1),f2(x2421,f2(x2421,a1))),f2(a1,f2(a1,a1)))),
% 80.72/80.76 inference(scs_inference,[],[238,2])).
% 80.72/80.76 cnf(245,plain,
% 80.72/80.77 (~E(f2(f2(a1,a1),f2(f2(f2(x2451,f2(x2451,a1)),f2(a1,a1)),f2(a1,a1))),a1)),
% 80.72/80.77 inference(scs_inference,[],[177,123,3])).
% 80.72/80.77 cnf(253,plain,
% 80.72/80.77 (~E(a1,f2(a1,f2(f2(x2531,f2(x2531,a1)),f2(a1,a1))))),
% 80.72/80.77 inference(scs_inference,[],[215,83,3])).
% 80.72/80.77 cnf(257,plain,
% 80.72/80.77 (E(f2(f2(f2(f2(f2(x2571,f2(x2571,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),a1)),
% 80.72/80.77 inference(scs_inference,[],[188,6,3])).
% 80.72/80.77 cnf(260,plain,
% 80.72/80.77 (E(a1,f2(f2(f2(f2(f2(x2601,f2(x2601,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[257,2])).
% 80.72/80.77 cnf(261,plain,
% 80.72/80.77 (~E(f2(f2(a1,a1),f2(x2611,f2(x2611,a1))),f2(f2(x2612,f2(x2612,a1)),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[118,257,21,2,3])).
% 80.72/80.77 cnf(263,plain,
% 80.72/80.77 (~E(f2(f2(x2631,f2(x2631,a1)),f2(a1,a1)),f2(f2(a1,a1),f2(x2632,f2(x2632,a1))))),
% 80.72/80.77 inference(scs_inference,[],[261,2])).
% 80.72/80.77 cnf(267,plain,
% 80.72/80.77 (E(f2(x2671,f2(x2671,a1)),f2(f2(f2(f2(f2(x2672,f2(x2672,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[260,6,3])).
% 80.72/80.77 cnf(268,plain,
% 80.72/80.77 (E(f2(f2(f2(f2(f2(x2681,f2(x2681,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(x2682,f2(x2682,a1)))),
% 80.72/80.77 inference(scs_inference,[],[260,6,3,2])).
% 80.72/80.77 cnf(270,plain,
% 80.72/80.77 (~E(f2(f2(f2(f2(f2(x2701,f2(x2701,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1))),
% 80.72/80.77 inference(scs_inference,[],[267,253,55,2,3])).
% 80.72/80.77 cnf(272,plain,
% 80.72/80.77 (~E(f2(a1,a1),f2(f2(f2(f2(f2(x2721,f2(x2721,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[270,2])).
% 80.72/80.77 cnf(274,plain,
% 80.72/80.77 (~E(f2(f2(a1,a1),f2(x2741,f2(x2741,a1))),f2(x2742,f2(x2742,a1)))),
% 80.72/80.77 inference(scs_inference,[],[242,245,17,2,3])).
% 80.72/80.77 cnf(300,plain,
% 80.72/80.77 (~E(f2(f2(x3001,f2(x3001,a1)),f2(a1,a1)),f2(f2(f2(x3002,f2(x3002,a1)),f2(a1,a1)),a1))),
% 80.72/80.77 inference(scs_inference,[],[186,97,3])).
% 80.72/80.77 cnf(302,plain,
% 80.72/80.77 (~E(f2(f2(f2(x3021,f2(x3021,a1)),f2(a1,a1)),a1),f2(f2(x3022,f2(x3022,a1)),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[300,2])).
% 80.72/80.77 cnf(320,plain,
% 80.72/80.77 (~E(f2(f2(x3201,f2(x3201,a1)),f2(f2(f2(a1,a1),f2(x3202,a1)),f2(x3202,a1))),a1)),
% 80.72/80.77 inference(scs_inference,[],[6,87,3,2])).
% 80.72/80.77 cnf(321,plain,
% 80.72/80.77 (E(f2(a1,f2(f2(x3211,f2(x3211,a1)),a1)),a1)),
% 80.72/80.77 inference(scs_inference,[],[6,24,3])).
% 80.72/80.77 cnf(325,plain,
% 80.72/80.77 (~E(f2(a1,a1),f2(a1,f2(f2(x3251,f2(x3251,a1)),a1)))),
% 80.72/80.77 inference(scs_inference,[],[321,14,3])).
% 80.72/80.77 cnf(326,plain,
% 80.72/80.77 (~E(f2(a1,f2(f2(x3261,f2(x3261,a1)),a1)),f2(a1,a1))),
% 80.72/80.77 inference(scs_inference,[],[325,2])).
% 80.72/80.77 cnf(340,plain,
% 80.72/80.77 (~E(f2(f2(f2(a1,a1),f2(x3401,x3402)),f2(x3401,a1)),f2(x3402,f2(f2(x3403,f2(x3403,a1)),f2(a1,a1))))),
% 80.72/80.77 inference(scs_inference,[],[74,91,3])).
% 80.72/80.77 cnf(348,plain,
% 80.72/80.77 (~E(f2(f2(f2(a1,a1),f2(x3481,x3482)),f2(x3481,a1)),f2(x3482,f2(x3483,f2(x3483,a1))))),
% 80.72/80.77 inference(scs_inference,[],[21,85,3,2])).
% 80.72/80.77 cnf(351,plain,
% 80.72/80.77 (E(f2(f2(f2(x3511,f2(x3511,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(f2(f2(f2(x3512,f2(x3512,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[102,267,149,5,3])).
% 80.72/80.77 cnf(353,plain,
% 80.72/80.77 (E(f2(f2(f2(x3531,f2(f2(f2(x3532,f2(x3532,a1)),f2(x3533,x3531)),f2(x3533,a1))),f2(a1,a1)),x3534),f2(a1,x3534))),
% 80.72/80.77 inference(scs_inference,[],[102,54,267,149,5,3,4])).
% 80.72/80.77 cnf(356,plain,
% 80.72/80.77 (E(f2(f2(f2(f2(f2(x3561,f2(x3561,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(f2(x3562,f2(x3562,a1)),f2(a1,a1)),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[351,52,5,2])).
% 80.72/80.77 cnf(357,plain,
% 80.72/80.77 (~E(f2(f2(x3571,f2(x3571,a1)),f2(x3572,f2(x3572,a1))),f2(f2(f2(f2(x3573,f2(x3573,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[351,174,152,52,5,2,3])).
% 80.72/80.77 cnf(359,plain,
% 80.72/80.77 (~E(f2(f2(f2(f2(x3591,f2(x3591,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(x3592,f2(x3592,a1)),f2(x3593,f2(x3593,a1))))),
% 80.72/80.77 inference(scs_inference,[],[357,2])).
% 80.72/80.77 cnf(360,plain,
% 80.72/80.77 (~E(f2(f2(x3601,f2(x3601,a1)),f2(f2(a1,a1),a1)),f2(a1,f2(f2(x3602,f2(x3602,a1)),f2(a1,a1))))),
% 80.72/80.77 inference(scs_inference,[],[357,340,25,2,3])).
% 80.72/80.77 cnf(365,plain,
% 80.72/80.77 (E(f2(f2(f2(f2(x3651,f2(x3651,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(f2(x3652,f2(x3652,a1)),f2(a1,a1)),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[353,174,145,2,3])).
% 80.72/80.77 cnf(367,plain,
% 80.72/80.77 (~E(f2(a1,f2(f2(x3671,f2(x3671,a1)),f2(a1,a1))),f2(f2(x3672,f2(x3672,a1)),f2(f2(a1,a1),a1)))),
% 80.72/80.77 inference(scs_inference,[],[360,2])).
% 80.72/80.77 cnf(368,plain,
% 80.72/80.77 (~E(f2(f2(a1,a1),f2(f2(f2(x3681,f2(x3681,a1)),f2(a1,a1)),f2(a1,a1))),f2(f2(f2(x3682,f2(x3682,a1)),f2(a1,a1)),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[245,360,160,2,3])).
% 80.72/80.77 cnf(369,plain,
% 80.72/80.77 (E(f2(f2(a1,a1),x3691),f2(f2(f2(x3692,f2(x3692,a1)),f2(x3693,f2(x3693,a1))),x3691))),
% 80.72/80.77 inference(scs_inference,[],[245,360,160,44,2,3,4])).
% 80.72/80.77 cnf(370,plain,
% 80.72/80.77 (E(f2(f2(f2(x3701,f2(x3701,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(f2(f2(x3702,f2(x3702,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[365,2])).
% 80.72/80.77 cnf(371,plain,
% 80.72/80.77 (~E(f2(f2(f2(x3711,f2(x3711,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(x3712,f2(x3712,a1)),f2(x3713,f2(x3713,a1))))),
% 80.72/80.77 inference(scs_inference,[],[365,359,2,3])).
% 80.72/80.77 cnf(376,plain,
% 80.72/80.77 (E(f2(x3761,f2(f2(x3762,f2(x3762,a1)),f2(x3763,f2(x3763,a1)))),f2(x3761,f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[368,370,365,41,2,3,5])).
% 80.72/80.77 cnf(378,plain,
% 80.72/80.77 (~E(f2(f2(f2(a1,a1),f2(x3781,f2(f2(x3782,f2(x3782,a1)),f2(a1,a1)))),f2(x3781,a1)),f2(a1,a1))),
% 80.72/80.77 inference(scs_inference,[],[369,348,216,2,3])).
% 80.72/80.77 cnf(382,plain,
% 80.72/80.77 (~E(f2(f2(x3821,f2(x3821,a1)),f2(f2(a1,a1),a1)),f2(f2(f2(x3822,f2(x3822,a1)),f2(a1,a1)),a1))),
% 80.72/80.77 inference(scs_inference,[],[371,229,25,2,3])).
% 80.72/80.77 cnf(386,plain,
% 80.72/80.77 (E(f2(x3861,f2(a1,a1)),f2(x3861,f2(f2(x3862,f2(x3862,a1)),f2(x3863,f2(x3863,a1)))))),
% 80.72/80.77 inference(scs_inference,[],[376,2])).
% 80.72/80.77 cnf(391,plain,
% 80.72/80.77 (~E(f2(f2(f2(x3911,f2(x3911,a1)),f2(a1,a1)),a1),f2(f2(f2(f2(x3912,f2(x3912,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[378,302,174,2,3])).
% 80.72/80.77 cnf(393,plain,
% 80.72/80.77 (E(f2(x3931,f2(f2(f2(x3932,f2(x3932,a1)),f2(a1,a1)),f2(a1,a1))),f2(x3931,f2(x3933,f2(x3933,a1))))),
% 80.72/80.77 inference(scs_inference,[],[378,302,174,149,2,3,5])).
% 80.72/80.77 cnf(400,plain,
% 80.72/80.77 (E(f2(f2(f2(f2(f2(f2(x4001,f2(x4001,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),x4002),f2(a1,x4002))),
% 80.72/80.77 inference(scs_inference,[],[386,391,257,79,2,3,4])).
% 80.72/80.77 cnf(401,plain,
% 80.72/80.77 (E(f2(x4011,f2(x4012,f2(x4012,a1))),f2(x4011,f2(f2(f2(x4013,f2(x4013,a1)),f2(a1,a1)),f2(a1,a1))))),
% 80.72/80.77 inference(scs_inference,[],[393,2])).
% 80.72/80.77 cnf(402,plain,
% 80.72/80.77 (~E(f2(a1,f2(x4021,f2(x4021,a1))),f2(f2(f2(f2(x4022,f2(x4022,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[393,137,174,2,3])).
% 80.72/80.77 cnf(404,plain,
% 80.72/80.77 (~E(f2(f2(f2(f2(x4041,f2(x4041,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,f2(x4042,f2(x4042,a1))))),
% 80.72/80.77 inference(scs_inference,[],[402,2])).
% 80.72/80.77 cnf(405,plain,
% 80.72/80.77 (~E(f2(f2(x4051,f2(x4051,a1)),f2(f2(f2(x4052,f2(x4052,a1)),f2(a1,a1)),f2(a1,a1))),f2(x4053,f2(x4053,a1)))),
% 80.72/80.77 inference(scs_inference,[],[401,141,402,2,3])).
% 80.72/80.77 cnf(410,plain,
% 80.72/80.77 (E(f2(f2(f2(x4101,f2(x4101,a1)),f2(a1,a1)),f2(x4102,f2(x4102,a1))),f2(a1,f2(x4103,f2(x4103,a1))))),
% 80.72/80.77 inference(scs_inference,[],[31,400,97,2,3])).
% 80.72/80.77 cnf(414,plain,
% 80.72/80.77 (~E(f2(f2(a1,a1),f2(x4141,f2(x4141,a1))),f2(f2(f2(f2(f2(x4142,f2(x4142,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[268,274,405,2,3])).
% 80.72/80.77 cnf(416,plain,
% 80.72/80.77 (E(f2(f2(f2(f2(x4161,f2(x4161,a1)),f2(a1,a1)),f2(a1,a1)),x4162),f2(f2(x4163,f2(x4163,a1)),x4162))),
% 80.72/80.77 inference(scs_inference,[],[268,274,405,149,2,3,4])).
% 80.72/80.77 cnf(422,plain,
% 80.72/80.77 (E(f2(f2(f2(f2(x4221,f2(x4221,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(x4222,f2(x4222,a1)),f2(a1,a1))),f2(a1,a1))),
% 80.72/80.77 inference(scs_inference,[],[414,416,92,2,3])).
% 80.72/80.77 cnf(424,plain,
% 80.72/80.77 (E(f2(x4241,f2(x4242,f2(x4242,a1))),f2(x4241,f2(f2(x4243,f2(x4243,a1)),f2(a1,a1))))),
% 80.72/80.77 inference(scs_inference,[],[414,416,92,63,2,3,5])).
% 80.72/80.77 cnf(425,plain,
% 80.72/80.77 (E(f2(a1,a1),f2(f2(f2(f2(x4251,f2(x4251,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(x4252,f2(x4252,a1)),f2(a1,a1))))),
% 80.72/80.77 inference(scs_inference,[],[422,2])).
% 80.72/80.77 cnf(426,plain,
% 80.72/80.77 (~E(f2(a1,f2(f2(x4261,f2(x4261,a1)),f2(a1,a1))),f2(f2(f2(f2(x4262,f2(x4262,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[422,241,194,2,3])).
% 80.72/80.77 cnf(429,plain,
% 80.72/80.77 (~E(f2(f2(a1,a1),f2(f2(x4291,f2(x4291,a1)),f2(a1,a1))),f2(f2(f2(x4292,f2(x4292,a1)),f2(a1,a1)),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[424,170,426,2,3])).
% 80.72/80.77 cnf(432,plain,
% 80.72/80.77 (E(f2(f2(f2(x4321,f2(f2(x4322,f2(x4323,x4321)),f2(x4323,a1))),f2(a1,a1)),x4324),f2(x4322,x4324))),
% 80.72/80.77 inference(scs_inference,[],[424,170,426,7,2,3,4])).
% 80.72/80.77 cnf(433,plain,
% 80.72/80.77 (E(f2(x4331,x4332),f2(f2(f2(x4333,f2(f2(x4331,f2(x4334,x4333)),f2(x4334,a1))),f2(a1,a1)),x4332))),
% 80.72/80.77 inference(scs_inference,[],[432,2])).
% 80.72/80.77 cnf(434,plain,
% 80.72/80.77 (E(f2(f2(x4341,f2(x4341,a1)),f2(a1,a1)),f2(f2(f2(f2(f2(x4342,f2(x4342,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[260,432,83,2,3])).
% 80.72/80.77 cnf(436,plain,
% 80.72/80.77 (~E(f2(f2(x4361,f2(x4361,a1)),f2(a1,a1)),f2(f2(a1,a1),f2(f2(f2(x4362,f2(x4362,a1)),f2(a1,a1)),f2(a1,a1))))),
% 80.72/80.77 inference(scs_inference,[],[263,429,393,2,3])).
% 80.72/80.77 cnf(438,plain,
% 80.72/80.77 (E(f2(x4381,f2(f2(x4382,f2(x4382,a1)),f2(a1,a1))),f2(x4381,f2(x4383,f2(x4383,a1))))),
% 80.72/80.77 inference(scs_inference,[],[263,429,393,60,2,3,5])).
% 80.72/80.77 cnf(439,plain,
% 80.72/80.77 (E(f2(f2(f2(f2(f2(x4391,f2(x4391,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(x4392,f2(x4392,a1)),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[434,2])).
% 80.72/80.77 cnf(440,plain,
% 80.72/80.77 (~E(f2(f2(f2(x4401,f2(f2(f2(f2(x4402,f2(x4402,a1)),f2(a1,a1)),f2(x4403,x4401)),f2(x4403,a1))),f2(a1,a1)),f2(a1,a1)),f2(a1,a1))),
% 80.72/80.77 inference(scs_inference,[],[433,204,434,2,3])).
% 80.72/80.77 cnf(445,plain,
% 80.72/80.77 (E(f2(f2(x4451,f2(x4451,a1)),x4452),f2(f2(f2(x4453,f2(x4453,a1)),f2(a1,a1)),x4452))),
% 80.72/80.77 inference(scs_inference,[],[440,433,63,2,3,4])).
% 80.72/80.77 cnf(447,plain,
% 80.72/80.77 (~E(f2(f2(f2(f2(x4471,f2(x4471,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(x4472,f2(x4472,a1)),a1))),
% 80.72/80.77 inference(scs_inference,[],[445,404,68,2,3])).
% 80.72/80.77 cnf(453,plain,
% 80.72/80.77 (E(f2(x4531,f2(x4532,f2(f2(x4533,f2(x4533,a1)),f2(a1,a1)))),f2(x4531,f2(x4532,a1)))),
% 80.72/80.77 inference(scs_inference,[],[436,438,367,91,2,3,5])).
% 80.72/80.77 cnf(454,plain,
% 80.72/80.77 (E(f2(x4541,f2(x4542,a1)),f2(x4541,f2(x4542,f2(f2(x4543,f2(x4543,a1)),f2(a1,a1)))))),
% 80.72/80.77 inference(scs_inference,[],[453,2])).
% 80.72/80.77 cnf(455,plain,
% 80.72/80.77 (~E(f2(f2(f2(x4551,f2(x4551,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(f2(x4552,f2(x4552,a1)),f2(a1,a1)),f2(x4553,f2(x4553,a1))))),
% 80.72/80.77 inference(scs_inference,[],[453,178,410,2,3])).
% 80.72/80.77 cnf(458,plain,
% 80.72/80.77 (~E(f2(a1,f2(f2(x4581,f2(x4581,a1)),f2(f2(x4582,f2(x4582,a1)),f2(a1,a1)))),f2(a1,a1))),
% 80.72/80.77 inference(scs_inference,[],[455,454,326,2,3])).
% 80.72/80.77 cnf(460,plain,
% 80.72/80.77 (E(f2(f2(x4601,a1),x4602),f2(f2(x4601,f2(f2(x4603,f2(x4603,a1)),f2(a1,a1))),x4602))),
% 80.72/80.77 inference(scs_inference,[],[455,454,326,82,2,3,4])).
% 80.72/80.77 cnf(461,plain,
% 80.72/80.77 (E(f2(f2(x4611,f2(f2(x4612,f2(x4612,a1)),f2(a1,a1))),x4613),f2(f2(x4611,a1),x4613))),
% 80.72/80.77 inference(scs_inference,[],[460,2])).
% 80.72/80.77 cnf(463,plain,
% 80.72/80.77 (E(f2(x4631,f2(x4631,a1)),f2(f2(a1,a1),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[461,458,34,2,3])).
% 80.72/80.77 cnf(466,plain,
% 80.72/80.77 (E(f2(x4661,f2(f2(x4662,f2(f2(x4663,f2(x4664,x4662)),f2(x4664,a1))),f2(a1,a1))),f2(x4661,x4663))),
% 80.72/80.77 inference(scs_inference,[],[461,458,34,7,2,3,5])).
% 80.72/80.77 cnf(467,plain,
% 80.72/80.77 (E(f2(x4671,x4672),f2(x4671,f2(f2(x4673,f2(f2(x4672,f2(x4674,x4673)),f2(x4674,a1))),f2(a1,a1))))),
% 80.72/80.77 inference(scs_inference,[],[466,2])).
% 80.72/80.77 cnf(468,plain,
% 80.72/80.77 (E(f2(f2(f2(f2(f2(x4681,f2(x4681,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(a1,a1),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[268,466,463,2,3])).
% 80.72/80.77 cnf(473,plain,
% 80.72/80.77 (E(f2(f2(x4731,f2(x4731,a1)),x4732),f2(f2(f2(a1,a1),f2(a1,a1)),x4732))),
% 80.72/80.77 inference(scs_inference,[],[467,447,48,463,3,2,4])).
% 80.72/80.77 cnf(474,plain,
% 80.72/80.77 (E(f2(f2(a1,a1),f2(a1,a1)),f2(f2(f2(f2(f2(x4741,f2(x4741,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[468,2])).
% 80.72/80.77 cnf(475,plain,
% 80.72/80.77 (E(f2(f2(f2(f2(f2(x4751,f2(x4751,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(f2(a1,a1),f2(a1,a1)),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[468,473,439,2,3])).
% 80.72/80.77 cnf(478,plain,
% 80.72/80.77 (~E(f2(a1,a1),f2(f2(a1,a1),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[272,474,3])).
% 80.72/80.77 cnf(481,plain,
% 80.72/80.77 (E(f2(x4811,f2(x4812,f2(x4812,a1))),f2(x4811,f2(f2(a1,a1),f2(a1,a1))))),
% 80.72/80.77 inference(scs_inference,[],[272,474,382,463,3,2,5])).
% 80.72/80.77 cnf(482,plain,
% 80.72/80.77 (E(f2(f2(f2(a1,a1),f2(a1,a1)),f2(a1,a1)),f2(f2(f2(f2(f2(x4821,f2(x4821,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[475,2])).
% 80.72/80.77 cnf(483,plain,
% 80.72/80.77 (~E(f2(f2(f2(f2(x4831,f2(x4831,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(x4832,f2(x4832,a1)),f2(a1,a1))),f2(f2(a1,a1),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[478,475,425,2,3])).
% 80.72/80.77 cnf(484,plain,
% 80.72/80.77 (E(f2(f2(f2(a1,a1),f2(a1,a1)),f2(a1,a1)),f2(f2(f2(x4841,f2(x4841,a1)),f2(a1,a1)),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[482,356,3])).
% 80.72/80.77 cnf(487,plain,
% 80.72/80.77 (E(f2(f2(a1,x4871),x4872),f2(f2(f2(f2(x4873,f2(x4873,a1)),f2(a1,a1)),x4871),x4872))),
% 80.72/80.77 inference(scs_inference,[],[482,356,483,84,3,2,4])).
% 80.72/80.77 cnf(489,plain,
% 80.72/80.77 (~E(f2(f2(a1,a1),a1),f2(f2(f2(a1,a1),f2(a1,a1)),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[484,165,2,3])).
% 80.72/80.77 cnf(491,plain,
% 80.72/80.77 (~E(f2(f2(a1,a1),f2(f2(a1,a1),f2(a1,a1))),f2(x4911,f2(x4911,a1)))),
% 80.72/80.77 inference(scs_inference,[],[274,481,3])).
% 80.72/80.77 cnf(495,plain,
% 80.72/80.77 (E(f2(x4951,f2(a1,x4952)),f2(x4951,f2(f2(f2(x4953,f2(x4953,a1)),f2(a1,a1)),x4952)))),
% 80.72/80.77 inference(scs_inference,[],[274,489,481,84,3,2,5])).
% 80.72/80.77 cnf(496,plain,
% 80.72/80.77 (~E(f2(f2(a1,a1),f2(a1,a1)),f2(f2(a1,a1),a1))),
% 80.72/80.77 inference(scs_inference,[],[491,5])).
% 80.72/80.77 cnf(499,plain,
% 80.72/80.77 (E(f2(f2(x4991,f2(x4991,a1)),a1),f2(a1,f2(f2(f2(x4992,f2(x4992,a1)),f2(a1,a1)),f2(a1,a1))))),
% 80.72/80.77 inference(scs_inference,[],[491,487,495,68,5,2,3])).
% 80.72/80.77 cnf(503,plain,
% 80.72/80.77 (~E(f2(f2(a1,a1),a1),f2(f2(a1,a1),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[496,97,5,2])).
% 80.72/80.77 cnf(513,plain,
% 80.72/80.77 (E(f2(f2(a1,a1),f2(a1,a1)),f2(x5131,f2(x5131,a1)))),
% 80.72/80.77 inference(scs_inference,[],[463,2])).
% 80.72/80.77 cnf(514,plain,
% 80.72/80.77 (~E(f2(f2(x5141,f2(f2(f2(a1,a1),f2(x5142,x5141)),f2(x5142,a1))),a1),f2(a1,a1))),
% 80.72/80.77 inference(scs_inference,[],[463,30,2,5])).
% 80.72/80.77 cnf(519,plain,
% 80.72/80.77 (E(f2(x5191,f2(a1,x5192)),f2(x5191,f2(f2(x5193,f2(x5193,a1)),x5192)))),
% 80.72/80.77 inference(scs_inference,[],[24,478,2,5])).
% 80.72/80.77 cnf(520,plain,
% 80.72/80.77 (~E(f2(f2(x5201,f2(f2(f2(f2(a1,a1),a1),f2(x5202,x5201)),f2(x5202,a1))),f2(a1,a1)),f2(f2(x5203,f2(x5203,a1)),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[24,16,118,478,2,5,3])).
% 80.72/80.77 cnf(531,plain,
% 80.72/80.77 (~E(f2(f2(a1,a1),a1),f2(f2(x5311,f2(f2(f2(f2(x5312,f2(x5312,a1)),f2(a1,a1)),f2(x5313,x5311)),f2(x5313,a1))),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[7,513,118,520,2,5,4,3])).
% 80.72/80.77 cnf(548,plain,
% 80.72/80.77 (~E(f2(f2(x5481,f2(x5481,a1)),f2(f2(x5482,f2(x5482,a1)),a1)),f2(a1,a1))),
% 80.72/80.77 inference(scs_inference,[],[24,326,514,2,3])).
% 80.72/80.77 cnf(555,plain,
% 80.72/80.77 (~E(f2(f2(x5551,f2(x5551,a1)),f2(f2(f2(a1,a1),f2(x5552,a1)),f2(x5552,a1))),f2(f2(x5553,f2(x5553,a1)),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[83,320,548,2,3])).
% 80.72/80.77 cnf(561,plain,
% 80.72/80.77 (E(f2(f2(x5611,f2(x5611,a1)),f2(a1,a1)),f2(f2(x5612,f2(f2(a1,f2(x5613,x5612)),f2(x5613,a1))),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[16,83,531,2,3])).
% 80.72/80.77 cnf(565,plain,
% 80.72/80.77 (~E(f2(f2(x5651,f2(x5651,a1)),f2(f2(x5652,f2(x5652,a1)),f2(a1,a1))),f2(f2(a1,a1),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[513,115,561,2,3])).
% 80.72/80.77 cnf(572,plain,
% 80.72/80.77 (E(f2(a1,f2(f2(f2(x5721,f2(x5721,a1)),f2(a1,a1)),f2(a1,a1))),f2(f2(x5722,f2(x5722,a1)),a1))),
% 80.72/80.77 inference(scs_inference,[],[499,2])).
% 80.72/80.77 cnf(573,plain,
% 80.72/80.77 (E(f2(f2(a1,a1),f2(a1,a1)),f2(f2(x5731,f2(x5731,a1)),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[24,513,499,2,3])).
% 80.72/80.77 cnf(576,plain,
% 80.72/80.77 (~E(f2(f2(a1,a1),f2(a1,a1)),f2(f2(x5761,f2(x5761,a1)),f2(f2(x5762,f2(x5762,a1)),f2(a1,a1))))),
% 80.72/80.77 inference(scs_inference,[],[565,2])).
% 80.72/80.77 cnf(578,plain,
% 80.72/80.77 (E(f2(x5781,f2(f2(a1,a1),f2(a1,a1))),f2(x5781,f2(f2(x5782,f2(x5782,a1)),f2(a1,a1))))),
% 80.72/80.77 inference(scs_inference,[],[92,235,573,565,2,3,5])).
% 80.72/80.77 cnf(589,plain,
% 80.72/80.77 (~E(f2(f2(x5891,f2(f2(a1,f2(x5892,x5891)),f2(x5892,a1))),f2(a1,a1)),f2(f2(a1,a1),f2(x5893,f2(x5893,a1))))),
% 80.72/80.77 inference(scs_inference,[],[16,157,555,2,3])).
% 80.72/80.77 cnf(613,plain,
% 80.72/80.77 (E(f2(x6131,f2(f2(x6132,f2(x6132,a1)),x6133)),f2(x6131,f2(a1,x6133)))),
% 80.72/80.77 inference(scs_inference,[],[519,2])).
% 80.72/80.77 cnf(614,plain,
% 80.72/80.77 (E(a1,f2(f2(x6141,f2(f2(f2(f2(f2(x6142,f2(x6142,a1)),f2(a1,a1)),f2(a1,a1)),f2(x6143,x6141)),f2(x6143,a1))),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[16,163,519,2,3])).
% 80.72/80.77 cnf(622,plain,
% 80.72/80.77 (~E(f2(x6221,f2(f2(f2(f2(a1,a1),a1),f2(x6222,x6221)),f2(x6222,a1))),f2(a1,a1))),
% 80.72/80.77 inference(scs_inference,[],[16,503,614,2,3,4])).
% 80.72/80.77 cnf(623,plain,
% 80.72/80.77 (~E(f2(a1,a1),f2(x6231,f2(f2(f2(f2(a1,a1),a1),f2(x6232,x6231)),f2(x6232,a1))))),
% 80.72/80.77 inference(scs_inference,[],[622,2])).
% 80.72/80.77 cnf(634,plain,
% 80.72/80.77 (E(f2(a1,x6341),f2(f2(x6342,f2(x6342,a1)),f2(f2(x6343,f2(f2(x6341,f2(x6344,x6343)),f2(x6344,a1))),f2(a1,a1))))),
% 80.72/80.77 inference(scs_inference,[],[24,467,3])).
% 80.72/80.77 cnf(640,plain,
% 80.72/80.77 (~E(a1,f2(f2(f2(f2(a1,a1),a1),f2(x6401,a1)),f2(x6401,a1)))),
% 80.72/80.77 inference(scs_inference,[],[572,132,623,634,2,3,5])).
% 80.72/80.77 cnf(784,plain,
% 80.72/80.77 (~E(f2(f2(x7841,f2(f2(f2(f2(a1,a1),f2(x7842,f2(x7842,a1))),f2(x7843,x7841)),f2(x7843,a1))),f2(a1,a1)),a1)),
% 80.72/80.77 inference(scs_inference,[],[16,135,589,2,3])).
% 80.72/80.77 cnf(786,plain,
% 80.72/80.77 (E(f2(f2(a1,a1),f2(a1,a1)),a1)),
% 80.72/80.77 inference(scs_inference,[],[7,460,3])).
% 80.72/80.77 cnf(789,plain,
% 80.72/80.77 (E(a1,f2(f2(a1,a1),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[7,460,3,2])).
% 80.72/80.77 cnf(790,plain,
% 80.72/80.77 (E(f2(f2(f2(a1,a1),f2(a1,a1)),x7901),f2(a1,x7901))),
% 80.72/80.77 inference(scs_inference,[],[7,460,3,2,4])).
% 80.72/80.77 cnf(791,plain,
% 80.72/80.77 (E(f2(x7911,f2(f2(a1,a1),f2(a1,a1))),f2(x7911,a1))),
% 80.72/80.77 inference(scs_inference,[],[7,460,3,2,4,5])).
% 80.72/80.77 cnf(793,plain,
% 80.72/80.77 (~E(f2(f2(x7931,f2(x7931,a1)),f2(f2(f2(a1,a1),f2(x7932,a1)),f2(x7932,a1))),f2(f2(a1,a1),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[320,786,784,2,3])).
% 80.72/80.77 cnf(794,plain,
% 80.72/80.77 (E(f2(a1,x7941),f2(f2(f2(a1,a1),f2(a1,a1)),x7941))),
% 80.72/80.77 inference(scs_inference,[],[790,2])).
% 80.72/80.77 cnf(798,plain,
% 80.72/80.77 (E(a1,f2(f2(x7981,f2(f2(f2(f2(a1,a1),f2(a1,a1)),f2(x7982,x7981)),f2(x7982,a1))),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[16,789,793,2,3])).
% 80.72/80.77 cnf(800,plain,
% 80.72/80.77 (E(f2(f2(x8001,f2(f2(f2(f2(a1,a1),f2(a1,a1)),f2(x8002,x8001)),f2(x8002,a1))),f2(a1,a1)),a1)),
% 80.72/80.77 inference(scs_inference,[],[798,2])).
% 80.72/80.77 cnf(801,plain,
% 80.72/80.77 (~E(f2(a1,f2(f2(a1,a1),a1)),f2(f2(f2(a1,a1),f2(a1,a1)),a1))),
% 80.72/80.77 inference(scs_inference,[],[235,798,790,2,3])).
% 80.72/80.77 cnf(803,plain,
% 80.72/80.77 (E(f2(f2(a1,x8031),x8032),f2(f2(f2(f2(a1,a1),f2(a1,a1)),x8031),x8032))),
% 80.72/80.77 inference(scs_inference,[],[794,235,798,790,2,3,4])).
% 80.72/80.77 cnf(808,plain,
% 80.72/80.77 (E(f2(f2(f2(f2(a1,a1),f2(a1,a1)),x8081),x8082),f2(f2(a1,x8081),x8082))),
% 80.72/80.77 inference(scs_inference,[],[803,2])).
% 80.72/80.77 cnf(809,plain,
% 80.72/80.77 (E(f2(a1,x8091),f2(f2(x8092,f2(f2(f2(f2(f2(a1,a1),f2(a1,a1)),x8091),f2(x8093,x8092)),f2(x8093,a1))),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[16,794,803,2,3])).
% 80.72/80.77 cnf(812,plain,
% 80.72/80.77 (~E(f2(f2(a1,a1),a1),f2(f2(f2(f2(a1,a1),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[808,118,801,2,3])).
% 80.72/80.77 cnf(819,plain,
% 80.72/80.77 (E(f2(x8191,f2(a1,x8192)),f2(x8191,f2(f2(f2(a1,a1),f2(a1,a1)),x8192)))),
% 80.72/80.77 inference(scs_inference,[],[24,794,800,809,801,2,3,4,5])).
% 80.72/80.77 cnf(821,plain,
% 80.72/80.77 (E(f2(f2(f2(f2(a1,a1),f2(a1,a1)),f2(f2(x8211,f2(x8212,a1)),f2(x8212,a1))),f2(a1,a1)),x8211)),
% 80.72/80.77 inference(scs_inference,[],[7,808,812,2,3])).
% 80.72/80.77 cnf(825,plain,
% 80.72/80.77 (~E(f2(f2(a1,a1),a1),f2(f2(a1,f2(f2(f2(a1,a1),f2(a1,a1)),a1)),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[118,821,803,2,3])).
% 80.72/80.77 cnf(829,plain,
% 80.72/80.77 (~E(f2(f2(x8291,f2(f2(f2(f2(x8292,f2(x8292,a1)),a1),f2(x8293,x8291)),f2(x8293,a1))),f2(a1,a1)),a1)),
% 80.72/80.77 inference(scs_inference,[],[16,48,825,2,3])).
% 80.72/80.77 cnf(837,plain,
% 80.72/80.77 (~E(f2(a1,f2(f2(a1,a1),a1)),f2(a1,f2(f2(a1,a1),f2(a1,a1))))),
% 80.72/80.77 inference(scs_inference,[],[235,791,829,2,3])).
% 80.72/80.77 cnf(925,plain,
% 80.72/80.77 (E(f2(a1,f2(f2(a1,a1),f2(a1,a1))),f2(f2(x9251,f2(x9251,a1)),f2(f2(x9252,f2(x9252,a1)),f2(a1,a1))))),
% 80.72/80.77 inference(scs_inference,[],[24,578,819,2,3])).
% 80.72/80.77 cnf(932,plain,
% 80.72/80.77 (~E(f2(f2(x9321,f2(x9321,a1)),f2(f2(a1,a1),a1)),f2(a1,f2(f2(a1,a1),f2(a1,a1))))),
% 80.72/80.77 inference(scs_inference,[],[24,925,837,2,3])).
% 80.72/80.77 cnf(935,plain,
% 80.72/80.77 (E(f2(a1,f2(a1,x9351)),f2(f2(x9352,f2(x9352,a1)),f2(f2(f2(a1,a1),f2(a1,a1)),x9351)))),
% 80.72/80.77 inference(scs_inference,[],[24,819,932,2,3])).
% 80.72/80.77 cnf(939,plain,
% 80.72/80.77 (~E(f2(f2(a1,a1),f2(a1,a1)),f2(a1,f2(f2(a1,a1),f2(a1,a1))))),
% 80.72/80.77 inference(scs_inference,[],[576,925,935,2,3])).
% 80.72/80.77 cnf(944,plain,
% 80.72/80.77 (~E(f2(x9441,f2(f2(a1,f2(x9442,x9441)),f2(x9442,a1))),f2(f2(f2(a1,a1),a1),f2(a1,a1)))),
% 80.72/80.77 inference(scs_inference,[],[16,640,939,2,3,4])).
% 80.72/80.77 cnf(947,plain,
% 80.72/80.77 ($false),
% 80.72/80.77 inference(scs_inference,[],[7,613,944,5,3]),
% 80.72/80.77 ['proof']).
% 80.72/80.77 % SZS output end Proof
% 80.72/80.77 % Total time :80.090000s
%------------------------------------------------------------------------------